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Titel |
Stochastic analysis of field-scale heat advection in heterogeneous aquifers |
VerfasserIn |
C.-M. Chang, H.-D. Yeh |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1027-5606
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Digitales Dokument |
URL |
Erschienen |
In: Hydrology and Earth System Sciences ; 16, no. 3 ; Nr. 16, no. 3 (2012-03-01), S.641-648 |
Datensatznummer |
250013201
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Publikation (Nr.) |
copernicus.org/hess-16-641-2012.pdf |
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Zusammenfassung |
Owing to the analogy between the solute and heat
transport processes, it can be expected that the rate of growth of the
spatial second moments of the heat flux in a heterogeneous aquifer over
relatively large space scales is greater than that predicted by applying the
classical heat transport model. The motivation of stochastic analysis of
heat transport at the field scale is therefore to quantify the enhanced
growth of the field-scale second moments caused by the spatially varying
specific discharge field. Within the framework of stochastic theory, an
effective advection-dispersion equation containing effective parameters
(namely, the macrodispersion coefficients) is developed to model the mean
temperature field. The rate of growth of the field-scale spatial second
moments of the mean temperature field in the principal coordinate directions
is described by the macrodispersion coefficient. The variance of the
temperature field is also developed to characterize the reliability to be
anticipated in applying the mean heat transport model. It is found that the
heterogeneity of the medium and the correlation length of the log hydraulic
conductivity are important in enhancing the field-scale heat advection,
while the effective thermal conductivity plays the role in reducing the
field-scale heat advection. |
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